Least Common Multiple of 23/42, 306/12, 272/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/42, 306/12, 272/932 quickly i.e. 28152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/42, 306/12, 272/932 is 28152.

LCM(23/42, 306/12, 272/932) = 28152

LCM of 23/42, 306/12, 272/932

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/42,306/12,272/932

Given numbers are 23/42,306/12,272/932

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 23,306,272

Least Common Multiple of Numerators i.e. LCM of 23,306,272 is 56304.

GCF of Denominators means GCF of 42,12,932 as per the given fractions.

GCF of 42,12,932 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,306,272

LCM of Fractions 23/42,306/12,272/932 is 28152

2 23, 306, 272
17 23, 153, 136
23, 9, 8

∴ So the LCM of the given numbers is 2 x 17 x 23 x 9 x 8 = 56304

Least Common Multiple of 23,306,272 with GCF Formula

Least Common Multiple of 23,306,272 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,306,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,306,272) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(23,306,272) x common factors =1 x 34 = 34

LCM(23,306,272) = ( 23 × 306 × 272 ) / 34

LCM(23,306,272) = 1914336 / 34

LCM(23,306,272) = 56304


Lets's calculate GCF of 42,12,932

2 42, 12, 932
21, 6, 466

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56304/2

Therefore the LCM of Fractions 23/42,306/12,272/932 is 28152

Greatest Common Factor of 42,12,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,12,932 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 42,12,932 . The biggest common factor number is the GCF number.
So the greatest common factor 42,12,932 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 23/42, 306/12, 272/932

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 23/42, 306/12, 272/932?

Answer: LCM of Numerators as per given numbers 23/42, 306/12, 272/932 is

LCM of Numerators i.e. for 23,306,272 is 56304

GCF of denominators i.e. for 42,12,932 is 2.

Thus, LCM of Fractions is 28152.Finally, LCM of Fractions for 23/42, 306/12, 272/932 is 28152.